Provinces and Gold

Jake is learning how to play the card game Dominion. In
Dominion, you can buy a variety of treasure, action, and
victory point cards – at the end of the game, the player with
the most victory points wins!

Each turn, each player draws $5$ cards and can use their action and
treasure cards to obtain buying power in order to buy more
cards. Since Jake is just starting out, he’s decided to buy
only treasure and victory point cards.

There are $3$ kinds of
victory cards in Dominion:

Province (costs $8$, worth $6$ victory points)

Duchy (costs $5$,
worth $3$ victory
points)

Estate (costs $2$,
worth $1$ victory
point)

And, there are $3$
kinds of treasure cards:

Gold (costs $6$,
worth $3$ buying
power)

Silver (costs $3$,
worth $2$ buying
power)

Copper (costs $0$,
worth $1$ buying
power)

At the start of Jake’s turn, he draws $5$ of these cards. Given the number
of Golds, Silvers, and Coppers in Jake’s hand, calculate the
best victory card and best treasure card he could buy that
turn. Note that Jake can buy only one card.

Input

The input consists of a single test case on a single line,
which contains three non-negative integers $G$, $S$, $C$ ($G
+ S + C \le 5$) indicating the number of Golds, Silvers,
and Coppers Jake draws in his hand.

Output

Output the best victory card (Province, Duchy, or
Estate) and the best treasure card
(Gold, Silver, or Copper)
Jake can buy this turn, separated with "
or ", in this order. If Jake cannot afford any victory
cards, output only the best treasure card he can buy.

Sample Explanation

In Sample Input $1$,
Jake has $1$ Silver in his
hand, which means he has $2$ buying power. This would allow him
to either buy an Estate or a Copper.